%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO173+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 06:04:09 EDT 2024
% Result : Theorem 10.53s 10.62s
% Output : CNFRefutation 10.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO173+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 07:51:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 10.53/10.62 %-------------------------------------------
% 10.53/10.62 % File :CSE---1.7
% 10.53/10.62 % Problem :theBenchmark
% 10.53/10.62 % Transform :cnf
% 10.53/10.62 % Format :tptp:raw
% 10.53/10.62 % Command :java -jar mcs_scs.jar %d %s
% 10.53/10.62
% 10.53/10.62 % Result :Theorem 10.010000s
% 10.53/10.62 % Output :CNFRefutation 10.010000s
% 10.53/10.62 %-------------------------------------------
% 10.53/10.62 %------------------------------------------------------------------------------
% 10.53/10.62 % File : GEO173+1 : TPTP v8.2.0. Released v3.3.0.
% 10.53/10.62 % Domain : Geometry (Constructive)
% 10.53/10.62 % Problem : Lemma on symmetry and apartness
% 10.53/10.62 % Version : [vPl95] axioms : Especial.
% 10.53/10.62 % English : If two points are distinct and a line U is distinct from the
% 10.53/10.62 % line connecting the points, then U is apart from at least one
% 10.53/10.62 % of these points.
% 10.53/10.62
% 10.53/10.62 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 10.53/10.62 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 10.53/10.62 % Source : [ILTP]
% 10.53/10.62 % Names : Lemma 4.1.i [vPl95]
% 10.53/10.62
% 10.53/10.62 % Status : Theorem
% 10.53/10.62 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.00 v3.3.0
% 10.53/10.62 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 10.53/10.62 % Number of atoms : 40 ( 0 equ)
% 10.53/10.62 % Maximal formula atoms : 6 ( 2 avg)
% 10.53/10.62 % Number of connectives : 32 ( 7 ~; 10 |; 3 &)
% 10.53/10.62 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 10.53/10.62 % Maximal formula depth : 9 ( 5 avg)
% 10.53/10.62 % Maximal term depth : 2 ( 1 avg)
% 10.53/10.62 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 10.53/10.62 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 10.53/10.62 % Number of variables : 37 ( 37 !; 0 ?)
% 10.53/10.62 % SPC : FOF_THM_RFO_NEQ
% 10.53/10.62
% 10.53/10.62 % Comments : Definitions unfolded, hence Especial.
% 10.53/10.62 %------------------------------------------------------------------------------
% 10.53/10.62 include('Axioms/GEO006+0.ax').
% 10.53/10.62 %------------------------------------------------------------------------------
% 10.53/10.62 fof(con,conjecture,
% 10.53/10.62 ! [X,Y,U,V] :
% 10.53/10.62 ( ( distinct_points(X,Y)
% 10.53/10.62 & convergent_lines(U,V)
% 10.53/10.62 & distinct_lines(U,line_connecting(X,Y)) )
% 10.53/10.62 => ( apart_point_and_line(X,U)
% 10.53/10.62 | apart_point_and_line(Y,U) ) ) ).
% 10.53/10.62
% 10.53/10.62 %------------------------------------------------------------------------------
% 10.53/10.62 %-------------------------------------------
% 10.53/10.62 % Proof found
% 10.53/10.62 % SZS status Theorem for theBenchmark
% 10.53/10.62 % SZS output start Proof
% 10.53/10.62 %ClaNum:19(EqnAxiom:0)
% 10.53/10.62 %VarNum:74(SingletonVarNum:33)
% 10.53/10.62 %MaxLitNum:6
% 10.53/10.62 %MaxfuncDepth:1
% 10.53/10.62 %SharedTerms:10
% 10.53/10.62 %goalClause: 1 2 3 4 5
% 10.53/10.62 %singleGoalClaCount:5
% 10.53/10.62 [1]P1(a1,a2)
% 10.53/10.62 [2]P2(a3,a4)
% 10.53/10.62 [4]~P3(a1,a3)
% 10.53/10.62 [5]~P3(a2,a3)
% 10.53/10.62 [3]P4(a3,f5(a1,a2))
% 10.53/10.63 [6]~P1(x61,x61)
% 10.53/10.63 [7]~P4(x71,x71)
% 10.53/10.63 [8]~P2(x81,x81)
% 10.53/10.63 [15]~P1(x151,x152)+~P3(x152,f5(x151,x152))
% 10.53/10.63 [16]~P1(x161,x162)+~P3(x161,f5(x161,x162))
% 10.53/10.63 [17]~P2(x171,x172)+~P3(f6(x171,x172),x172)
% 10.53/10.63 [18]~P2(x181,x182)+~P3(f6(x181,x182),x181)
% 10.53/10.63 [9]~P1(x93,x91)+P1(x91,x92)+P1(x93,x92)
% 10.53/10.63 [10]~P3(x101,x103)+P1(x101,x102)+P3(x102,x103)
% 10.53/10.63 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 10.53/10.63 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 10.53/10.63 [13]~P3(x133,x131)+P4(x131,x132)+P3(x133,x132)
% 10.53/10.63 [14]~P2(x143,x141)+P2(x141,x142)+P2(x143,x142)
% 10.53/10.63 [19]P3(x194,x193)+~P1(x194,x191)+~P4(x193,x192)+P3(x191,x192)+P3(x191,x193)+P3(x194,x192)
% 10.53/10.63 %EqnAxiom
% 10.53/10.63
% 10.53/10.63 %-------------------------------------------
% 10.53/10.63 cnf(24,plain,
% 10.53/10.63 (~P2(x241,x241)),
% 10.53/10.63 inference(rename_variables,[],[8])).
% 10.53/10.63 cnf(29,plain,
% 10.53/10.63 (P4(f5(a1,a2),a3)),
% 10.53/10.63 inference(scs_inference,[],[1,2,3,6,7,8,24,9,12,14,11])).
% 10.53/10.63 cnf(32,plain,
% 10.53/10.63 (~P3(a1,f5(a2,a1))),
% 10.53/10.63 inference(scs_inference,[],[6,1,15,9])).
% 10.53/10.63 cnf(33,plain,
% 10.53/10.63 (~P3(a2,f5(a2,a1))),
% 10.53/10.63 inference(scs_inference,[],[6,1,16,9])).
% 10.53/10.63 cnf(36,plain,
% 10.53/10.63 (~P3(a2,f5(a1,a2))),
% 10.53/10.63 inference(scs_inference,[],[6,1,10,15])).
% 10.53/10.63 cnf(37,plain,
% 10.53/10.63 (~P3(a1,f5(a1,a2))),
% 10.53/10.63 inference(scs_inference,[],[7,1,13,16])).
% 10.53/10.63 cnf(475,plain,
% 10.53/10.63 (~P4(a3,f5(a2,a1))),
% 10.53/10.63 inference(scs_inference,[],[32,1,4,5,33,19])).
% 10.53/10.63 cnf(488,plain,
% 10.53/10.63 ($false),
% 10.53/10.63 inference(scs_inference,[],[3,1,4,5,475,29,37,36,11,19]),
% 10.53/10.63 ['proof']).
% 10.53/10.63 % SZS output end Proof
% 10.53/10.63 % Total time :10.010000s
%------------------------------------------------------------------------------